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SBV regularity for Hamilton-Jacobi equations in ℝ^n


Bianchini, C; De Lellis, C; Robyr, R (2011). SBV regularity for Hamilton-Jacobi equations in ℝ^n. Archiv for Rational Mechanics and Analysis, 200(3):1003-1021.

Abstract

We study the regularity of viscosity solutions to the following Hamilton-Jacobi equations ∂ t u+H(D x u)=0inΩ⊂ℝ×ℝ n · In particular, under the assumption that the Hamiltonian H∈C 2 (ℝ n ) is uniformly convex, we prove that D x u and ∂ t u belong to the class SBV loc (Ω).

Abstract

We study the regularity of viscosity solutions to the following Hamilton-Jacobi equations ∂ t u+H(D x u)=0inΩ⊂ℝ×ℝ n · In particular, under the assumption that the Hamiltonian H∈C 2 (ℝ n ) is uniformly convex, we prove that D x u and ∂ t u belong to the class SBV loc (Ω).

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2011
Deposited On:08 Jan 2012 20:35
Last Modified:07 Dec 2017 10:45
Publisher:Springer
ISSN:0003-9527
Additional Information:The original publication is available at www.springerlink.com
Publisher DOI:https://doi.org/10.1007/s00205-010-0381-z
Related URLs:http://arxiv.org/abs/1002.4087

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